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Finding the Fourth Proportional to 509.01, 702.38 and 287.95

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Solution

The fourth proportional to 509.01, 702.38 and 287.95 is: 397.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.01 : 702.38 = 287.95 : x
  2. Step 2: Convert to fraction form
    509.01/702.38 = 287.95/x
  3. Step 3: Cross multiply
    509.01x = 702.38 × 287.95
  4. Step 4: Simplify right side
    509.01x = 202,250.32
  5. Step 5: Solve for x
    x = 202,250.32/509.01
  6. Step 6: Final answer
    x = 397.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.